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OpenStudy (anonymous):
What is the question?
OpenStudy (lena772):
OpenStudy (lena772):
@ganeshie8
OpenStudy (anonymous):
\[16^{1/4} = \sqrt[4]{16 \times 1}\]
OpenStudy (lena772):
But y is 1, not 4.
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OpenStudy (lena772):
@agent0smith
OpenStudy (opcode):
\[\dfrac{1}{3} = Cube~root\]
\[\dfrac{1}{4} = Forth~root\]
\[\dfrac{1}{5} = Fifth~root\]
@pabloecortez07 provided the property, not much more than that.
OpenStudy (anonymous):
Fourth root*
OpenStudy (lena772):
Look at pablo's equation. He has x^y/z = yrootx*z
In my equation y would be 1, not 4.
OpenStudy (opcode):
\[\large a^{\frac{1}{b}}=\sqrt[b]{a}\]
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OpenStudy (opcode):
\[b\ne0\]
OpenStudy (opcode):
The property is called, Rational Exponent Property.
OpenStudy (anonymous):
@Lena772 Here's what it's like, sorry I messed up:
\[x ^{\frac{ y }{ z }} = \sqrt[z]{x \times y}\]
OpenStudy (agent0smith):
That's not right either @pabloecortez07 \[\huge x ^{\frac{ y }{ z }} = \sqrt[z]{x^ y}\]which i'm guessing is what you meant
OpenStudy (agent0smith):
since\[\huge x ^{\frac{ y }{ z }} =(x^y)^{1/z} = \sqrt[z]{x^ y}\]